If the columns/rows of an nXn matrix A are linearly independent, what is the rank(A)?

If the columns of an nXn matrix A are linearly independent as vectors, what is the rank of A?
If the rows of an nXn matrix A are linearly independent as vectors, what is the rank of A?

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Originally Posted by thealpz

If the columns of an nXn matrix A are linearly independent as vectors, what is the rank of A?
If the rows of an nXn matrix A are linearly independent as vectors, what is the rank of A?

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The Rank of A and A transpose are the same. By defintion, the rank of a matrix is the number of linearly independant column vectors. So it would have Rank n